Solve -sqrt{41/3}

$$- \sqrt{ \frac{ 41 }{ 3 } }$$

Evaluate

$$-\frac{\sqrt{123}}{3}\approx -3.696845502$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{41}{3}} as the division of square roots \frac{\sqrt{41}}{\sqrt{3}}.

$$-\frac{\sqrt{41}}{\sqrt{3}}$$

Rationalize the denominator of \frac{\sqrt{41}}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$-\frac{\sqrt{41}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$-\frac{\sqrt{41}\sqrt{3}}{3}$$

To multiply \sqrt{41} and \sqrt{3}, multiply the numbers under the square root.

$$-\frac{\sqrt{123}}{3}$$